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Finding the Fourth Proportional to 35,200.14, 48,570.03 and 20,085.90

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Solution

The fourth proportional to 35,200.14, 48,570.03 and 20,085.90 is: 27,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200.14 : 48,570.03 = 20,085.90 : x
  2. Step 2: Convert to fraction form
    35,200.14/48,570.03 = 20,085.90/x
  3. Step 3: Cross multiply
    35,200.14x = 48,570.03 × 20,085.90
  4. Step 4: Simplify right side
    35,200.14x = 975,572,765.58
  5. Step 5: Solve for x
    x = 975,572,765.58/35,200.14
  6. Step 6: Final answer
    x = 27,715.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.